Angle of a sector

A sector of a circle is a portion or part of a circle that is composed of an arc angle of a sector its two radii. You can compare the sector of a circle to the shape of a pizza slice. A sector is formed when two radii of the circle meet at both ends of the arc.

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Angle of a sector

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii. A portion of the circumference also known as an arc of the circle and 2 radii of the circle meet at both endpoints of the arc formed a sector. The shape of a sector of a circle looks like a pizza slice or a pie. In geometry, a circle is one of the most perfect figures. The shape of a sector of a circle is the simplest shape in geometry. It has various parts of its own. Such as diameter, radius, circumference, segment, sector. In this article, we will learn about what is a sector of a circle, formulas related to the sector of a circle along with solving a few examples on the sector of a circle. A sector is a portion of a circle that can be defined based on the four points mentioned below:. The 2 radii meet at the part of the circumference of a circle known as an arc, formed a sector of a circle. The semi-circle is also a sector with an angle of degrees. The area of a sector of a circle is the amount of space occupied within the boundary of a sector of a circle. A sector always initiates from the center of the circle.

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In the circle above, the length of arc BC is degrees, and the segment AC is a diameter. What is the measure of angle ADB in degrees? Since we know that segment AC is a diameter, this means that the length of the arc ABC must be degrees. This means that the length of the arc AB must be 80 degrees. Since angle ADB is an inscribed angle, its measure is equal to half of the measure of the angle of the arc that it intercepts.

A circle has always been an important shape among all geometrical figures. There are various concepts and formulas related to a circle. The sectors and segments are perhaps the most useful of them. In this article, we shall focus on the concept of a sector of a circle along with area and perimeter of a sector. A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference arc and radii of the circle at both endpoints of the arc. The shape of a sector of a circle can be compared with a slice of pizza or a pie. A circle is a locus of points equidistant from a given point located at the centre of the circle. The common distance from the centre of the circle to its point is called the radius. Thus, the circle is defined by its centre o and radius r.

Angle of a sector

Use this calculator to easily calculate the area of a sector given its radius and angle. The figure below illustrates the measurement:. As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle. The radius can be expressed as either degrees or radians, with our area of a sector calculator accepting only degrees for now let us know if it would help you if it supported radians as well.

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Check out these interesting articles to know more about Sector of a Circle and its related topics. What is the difference between a sector and an arc? The acute angles of are complementary, so. Observe the figure given below that shows a pizza that is sectioned into 6 equal slices, where each slice is a sector, and the radius of the pizza is 7 inches. Login To View Results. So, let us use the area of sector formula. It's going all the way around like that. You can use the formulas of perimeter and area of a circle to make an equation. So the area of the sector over the total area is equal to the degrees in the central angle over the total degrees in a circle. The formula for determining the area of a sector is given in two ways, with an angle and without an angle.

A sector of a circle is a portion or part of a circle that is composed of an arc and its two radii.

Kevin Finn. The larger one is known as the major sector and the smaller one is known as a minor sector of a circle. Mathematics Grade Explanation : The first thing to do for this problem is to compute the total circumference of the circle. Example Question 44 : Geometry. Rearranging the formulas will help to solve for the value of the central angle, or theta. Stanley Certified Tutor. How to Figure Percentage of a Circle Graph. We first have to figure out what percentage of the surface area is represented by 4. How To: Degree to Radian Conversion. Add together the arc length and the two radii. Since angle ADB is an inscribed angle, its measure is equal to half of the measure of the angle of the arc that it intercepts.